Title

Gauge strongly summability of measurable functions

Document Type

Article

Publication Date

1-1-2021

Subject Area

ARRAY(0x5645c4d5cdc8)

Abstract

During the late 50’s and early 60’s, the notion of Gauge integral was presented by Kurzweil and Henstock, independently. The purpose of this paper is to extend this concept to Summability theory. To accomplish this, we introduce the notion of ˜γ−strongly summable to L with respect to Gauge by using h(ϑ) measurable real valued function defined on (1, ∞). We shall also prove inclusion theorems to contrast it with other Summability integration techniques.

Publication Title

Carpathian Journal of Mathematics

Volume

37

Issue

1

First Page

109

Last Page

117

ISSN

15842851

E-ISSN

18434401

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